1970 AHSME Problems/Problem 28

Problem

In triangle $ABC$ , the median from vertex $A$ is perpendicular to the median from vertex $B$ . If the lengths of sides $AC$ and $BC$ are $6$ and $7$ respectively, then the length of side $AB$ is

$\text{(A) } \sqrt{17}\quad \text{(B) } 4\quad \text{(C) } 4\tfrac{1}{2}\quad \text{(D) } 2\sqrt{5}\quad \text{(E) } 4\tfrac{1}{4}$

Solution

$\fbox{A}$

1970 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 27	Followed by Problem 29
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1970 AHSME Problems/Problem 28

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